Quantitative Aptitude - Arithmetic Ability Questions

There were 42 students in a hostel. Due to the admission of 13 new students, the expenses of the mess increase by Rs. 30 per day while the average expenditure per head diminished by Rs. 3. What was the original expenditure of the mess ?

When a number is increased by 38, it becomes 119% of itself. What is the number?

If sec 300° = x, then value of x is

What is the value of {(sin 4x + sin 4y) [(tan 2x – 2y)]}/(sin 4x – sin 4y)?

In an arithmetic progression if 13 is the 3rd term, -­47 is the 13th term, then ­-17 is which term?

30 women do half of the total work in 30 days. How many more women will be required to complete the remaining work in 10 days?

If x(2x + 3) = 90 and 7y-1/2+ 2y-1/2= y1/2 (x and y are positive numbers), then what is the value of x2+ y2?

56/32 simplified value?